Subgroups — #12969285

Order 1280.

1914 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618176	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618138	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3167	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615076	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615023	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613623	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613618	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613494	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613484	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613330	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613325	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613294	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613289	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612393	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612392	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612391	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612390	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612368	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612367	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612366	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612365	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611396	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611395	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611394	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611393	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#4061	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×#4060	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#4062	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×D₅×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610200	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×#4047	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#533	C₂²	1	1	yes	characteristic, complemented
33	C₅×#532	C₂²	1	1	yes	characteristic
34	#66166	—	2	1	no	—
35	#66162	—	2	1	no	—
36	C₂×#4062	C₂²	1	1	yes	characteristic
37	C₂×#4061	C₂²	1	1	yes	characteristic
38	C₂×#4060	C₂²	1	1	yes	characteristic
39	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
40	C₂×#4047	C₂²	1	1	yes	characteristic
41	C₂×#4047	C₂²	1	1	yes	characteristic
42	#66067	C₂²	1	1	yes	characteristic
43	#66067	C₂²	1	1	yes	characteristic, complemented
44	#66065	C₂²	1	1	yes	characteristic, complemented
45	#66063	C₂²	1	1	yes	characteristic
46	#66063	C₂²	1	1	yes	characteristic
47	#66058	C₂²	1	1	yes	characteristic
48	#66053	C₂²	1	1	yes	characteristic
49	#66049	C₂²	1	1	yes	characteristic
50	#66030	—	2	1	no	—
51	#66026	—	2	1	no	—
52	#66012	—	2	1	no	—
53	#66003	—	2	1	no	—
54	#65977	C₂²	1	1	yes	characteristic, complemented
55	#65974	—	2	1	no	—
56	#65972	—	2	1	no	—
57	#65963	C₂²	1	1	yes	characteristic
58	#65962	C₂²	1	1	yes	characteristic
59	#65959	C₂²	1	1	yes	characteristic, complemented
60	#65953	C₂²	1	1	yes	characteristic
61	#65949	—	2	1	no	—
62	#65947	—	2	1	no	—
63	#65942	C₂²	1	1	yes	characteristic
64	#65941	C₂²	1	1	yes	characteristic
65	#65937	C₂²	1	1	yes	characteristic
66	#65914	—	2	1	no	—
67	#65914	C₂²	1	1	yes	characteristic, complemented
68	#65912	—	2	1	no	—
69	#65912	C₂²	1	1	yes	characteristic, complemented
70	C₄×#713	C₂²	1	1	yes	characteristic
71	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
72	#65891	C₂²	1	1	yes	characteristic
73	#65882	C₂²	1	1	yes	characteristic
74	#65881	—	2	1	no	—
75	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
76	#65872	—	2	1	no	—
77	C₄×#711	C₂²	1	1	yes	characteristic
78	#65862	—	2	1	no	—
79	#65862	—	2	1	no	—
80	#65813	C₂²	1	1	yes	characteristic
81	#65813	C₂²	1	1	yes	characteristic, complemented
82	C₄×#709	C₂²	1	1	yes	characteristic
83	C₅×#498	C₂²	1	1	yes	characteristic, complemented
84	C₅×#492	C₂²	1	1	yes	characteristic
85	C₅×#487	C₂²	1	1	yes	characteristic, complemented
86	C₅×#486	C₂²	1	1	yes	characteristic
87	C₅×#465	C₂²	1	1	yes	characteristic
88	C₅×#465	C₂²	1	1	yes	characteristic
89	C₅×#465	C₂²	1	1	yes	characteristic, complemented
90	C₅×#465	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
92	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
93	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
94	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
95	C₂×C₄×C₅×C₈	C₂²	1	1	yes	characteristic, complemented
96	#65465	C₂²	1	1	yes	characteristic
97	#65464	C₂²	1	1	yes	characteristic
98	#65463	C₂²	1	1	yes	characteristic
99	#65463	C₂²	1	1	yes	characteristic, complemented
100	#65460	C₂²	1	1	yes	characteristic
101	#65460	C₂²	1	1	yes	characteristic, complemented
102	#65457	C₂²	1	1	yes	characteristic
103	#65456	C₂²	1	1	yes	characteristic
104	#65453	C₂²	1	1	yes	characteristic
105	#65453	C₂²	1	1	yes	characteristic, complemented
106	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
107	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
108	#65405	C₂²	1	1	yes	characteristic, complemented
109	#65404	C₂²	1	1	yes	characteristic
110	#65403	C₂²	1	1	yes	characteristic
111	#65403	C₂²	1	1	yes	characteristic, complemented
112	#65390	C₂²	1	1	yes	characteristic, complemented
113	#65390	C₂²	1	1	yes	characteristic, complemented
114	#65378	C₂²	1	1	yes	characteristic
115	#65378	C₂²	1	1	yes	characteristic, complemented
116	#65375	C₂²	1	1	yes	characteristic
117	#65371	C₂²	1	1	yes	characteristic, complemented
118	#65369	C₂²	1	1	yes	characteristic, complemented
119	#65369	C₂²	1	1	yes	characteristic, complemented
120	#65363	C₂²	1	1	yes	characteristic
121	#65360	C₂²	1	1	yes	characteristic
122	#65341	C₂²	1	1	yes	characteristic, complemented
123	#65341	C₂²	1	1	yes	characteristic, complemented
124	#65338	C₂²	1	1	yes	characteristic
125	#65338	C₂²	1	1	yes	characteristic
126	#65331	C₂²	1	1	yes	characteristic
127	#65331	C₂²	1	1	yes	characteristic, complemented
128	#65328	C₂²	1	1	yes	characteristic
129	#65328	C₂²	1	1	yes	characteristic, complemented
130	C₄×#689	C₂²	1	1	yes	characteristic, complemented
131	C₄×#689	C₂²	1	1	yes	characteristic, complemented
132	C₄×#688	C₂²	1	1	yes	characteristic
133	C₄×#688	C₂²	1	1	yes	characteristic
134	C₄×#687	C₂²	1	1	yes	characteristic
135	C₄×#687	C₂²	1	1	yes	characteristic, complemented
136	C₄×#686	C₂²	1	1	yes	characteristic
137	C₄×#686	C₂²	1	1	yes	characteristic, complemented
138	C₄×#681	C₂²	1	1	yes	characteristic, complemented
139	#65158	C₂²	1	1	yes	characteristic
140	#65157	C₂²	1	1	yes	characteristic, complemented
141	#65154	C₂²	1	1	yes	characteristic
142	#65153	C₂²	1	1	yes	characteristic
143	#65153	C₂²	1	1	yes	characteristic, complemented
144	#65150	C₂²	1	1	yes	characteristic
145	#65150	C₂²	1	1	yes	characteristic
146	#65149	C₂²	1	1	yes	characteristic
147	D₅×#106	C₂²	1	1	yes	characteristic
148	#65147	C₂²	1	1	yes	characteristic, complemented
149	#65145	C₂²	1	1	yes	characteristic, complemented
150	#65145	C₂²	1	1	yes	characteristic, complemented
151	#65144	C₂²	1	1	yes	characteristic, complemented
152	#65142	C₂²	1	1	yes	characteristic, complemented
153	#65141	C₂²	1	1	yes	characteristic
154	#65141	C₂²	1	1	yes	characteristic, complemented
155	#65106	C₂²	1	1	yes	characteristic
156	#65105	C₂²	1	1	yes	characteristic, complemented
157	#65102	C₂²	1	1	yes	characteristic, complemented
158	#65101	C₂²	1	1	yes	characteristic
159	#65096	C₂²	1	1	yes	characteristic
160	#65093	C₂²	1	1	yes	characteristic
161	#65092	C₂²	1	1	yes	characteristic
162	#65091	C₂²	1	1	yes	characteristic
163	D₅×#103	C₂²	1	1	yes	characteristic
164	#65089	C₂²	1	1	yes	characteristic, complemented
165	#65086	C₂²	1	1	yes	characteristic, complemented
166	#65084	C₂²	1	1	yes	characteristic, complemented
167	#65081	C₂²	1	1	yes	characteristic, complemented
168	#65079	C₂²	1	1	yes	characteristic, complemented
169	#65078	C₂²	1	1	yes	characteristic, complemented
170	#65077	C₂²	1	1	yes	characteristic
171	#65074	C₂²	1	1	yes	characteristic
172	#65071	C₂²	1	1	yes	characteristic, complemented
173	#65069	C₂²	1	1	yes	characteristic
174	#65067	C₂²	1	1	yes	characteristic, complemented
175	#65064	C₂²	1	1	yes	characteristic
176	#65061	C₂²	1	1	yes	characteristic
177	#65060	C₂²	1	1	yes	characteristic
178	#65059	C₂²	1	1	yes	characteristic
179	D₅×#102	C₂²	1	1	yes	characteristic
180	#65057	C₂²	1	1	yes	characteristic
181	#65054	C₂²	1	1	yes	characteristic
182	#65053	C₂²	1	1	yes	characteristic
183	#65049	C₂²	1	1	yes	characteristic
184	#65047	C₂²	1	1	yes	characteristic
185	#65046	C₂²	1	1	yes	characteristic, complemented
186	#65045	C₂²	1	1	yes	characteristic, complemented
187	C₄×Dic₂₀	C₂²	1	1	yes	characteristic, complemented
188	#64986	C₂²	1	1	yes	characteristic
189	#64986	C₂²	1	1	yes	characteristic, complemented
190	#64985	C₂²	1	1	yes	characteristic
191	C₄×D₄₀	C₂²	1	1	yes	characteristic
192	C₄×#677	C₂²	1	1	yes	characteristic
193	C₄×#677	C₂²	1	1	yes	characteristic, complemented
194	#64978	C₂²	1	1	yes	characteristic
195	#64978	C₂²	1	1	yes	characteristic
196	#64978	C₂²	1	1	yes	characteristic, complemented
197	#64978	C₂²	1	1	yes	characteristic, complemented
198	C₄×#676	C₂²	1	1	yes	characteristic
199	C₄×#676	C₂²	1	1	yes	characteristic, complemented
200	C₄×C₈×D₅	C₂²	1	1	yes	characteristic
201	C₄×C₈×D₅	C₂²	1	1	yes	characteristic, complemented
202	#64972	C₂²	1	1	yes	characteristic, complemented
203	#60694	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	—	2	1	no	—
205	C₂×#713	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
207	C₂×#711	C₂³	1	1	yes	characteristic
208	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
209	C₂×#709	—	2	1	no	—
210	C₂×#709	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₅	—	2	1	no	—
212	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
216	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
217	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
218	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
219	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
220	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
221	C₅×#127	C₂³	1	1	yes	characteristic
222	C₅×#125	—	2	1	no	—
223	C₅×#124	—	2	1	no	—
224	C₅×C₂²⋊Q₈	—	2	1	no	—
225	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
226	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
227	C₅×#121	—	2	1	no	—
228	C₅×#121	C₂³	1	1	yes	characteristic
229	C₅×#121	C₂³	1	1	yes	characteristic
230	C₄×C₅×Q₈	—	2	1	no	—
231	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
232	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
233	C₄×C₅×D₄	—	2	1	no	—
234	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
235	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
236	C₅×#117	—	2	1	no	—
237	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
238	#4093	—	2	1	no	—
239	#4093	—	2	1	no	—
240	#4093	C₂³	1	1	yes	characteristic
241	#4092	—	2	1	no	—
242	#4092	—	2	1	no	—
243	#4092	—	2	1	no	—
244	#4092	—	2	1	no	—
245	#4092	C₂³	1	1	yes	characteristic
246	#4092	C₂³	1	1	yes	characteristic
247	Q₈×Dic₅	C₂³	1	1	yes	characteristic
248	Q₈×Dic₅	C₂³	1	1	yes	characteristic
249	#4090	—	2	1	no	—
250	#4090	—	2	1	no	—
251	#4090	C₂³	1	1	yes	characteristic
252	C₂×#689	C₂³	1	1	yes	characteristic
253	C₂×#689	C₂³	1	1	yes	characteristic
254	C₂×#688	C₂³	1	1	yes	characteristic
255	C₂×#688	C₂³	1	1	yes	characteristic
256	#4086	—	2	1	no	—
257	#4086	C₂³	1	1	yes	characteristic
258	#4085	—	2	1	no	—
259	#4085	—	2	1	no	—
260	#4085	—	2	1	no	—
261	#4085	—	2	1	no	—
262	#4085	—	2	1	no	—
263	#4085	—	2	1	no	—
264	#4084	—	2	1	no	—
265	#4084	—	2	1	no	—
266	#4084	C₂³	1	1	yes	characteristic
267	#4084	C₂³	1	1	yes	characteristic
268	#4083	—	2	1	no	—
269	#4083	—	2	1	no	—
270	#4083	—	2	1	no	—
271	#4082	—	2	1	no	—
272	#4082	C₂³	1	1	yes	characteristic
273	#4081	—	2	1	no	—
274	#4081	—	2	1	no	—
275	#4081	—	2	1	no	—
276	D₄×Dic₅	C₂³	1	1	yes	characteristic
277	D₄×Dic₅	C₂³	1	1	yes	characteristic
278	C₂×#687	C₂³	1	1	yes	characteristic
279	C₂×#687	C₂³	1	1	yes	characteristic
280	C₂×#686	C₂³	1	1	yes	characteristic
281	C₂×#686	C₂³	1	1	yes	characteristic
282	#4076	C₂³	1	1	yes	characteristic
283	#4076	C₂³	1	1	yes	characteristic
284	#4075	—	2	1	no	—
285	#4075	—	2	1	no	—
286	C₄×C₂²⋊D₅	—	2	1	no	—
287	C₄×C₂²⋊D₅	—	2	1	no	—
288	C₄×C₂²⋊D₅	—	2	1	no	—
289	C₄×C₂²⋊D₅	—	2	1	no	—
290	C₄×C₂²⋊D₅	—	2	1	no	—
291	C₄×C₂²⋊D₅	—	2	1	no	—
292	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
293	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
294	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
295	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
296	#4072	—	2	1	no	—
297	#4072	C₂³	1	1	yes	characteristic
298	#4070	C₂³	1	1	yes	characteristic
299	#4070	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₅	—	2	1	no	—
301	C₂×#681	C₂³	1	1	yes	characteristic
302	C₂×#681	C₂³	1	1	yes	characteristic
303	#4062	—	2	4	no	—
304	#4061	—	2	4	no	—
305	#4060	—	2	4	no	—
306	D₅×SD₁₆	—	2	4	no	—
307	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
308	C₂×D₄₀	C₂³	1	1	yes	characteristic
309	C₂×#677	C₂³	1	1	yes	characteristic
310	C₂×#677	C₂³	1	1	yes	characteristic
311	#4047	—	2	4	no	—
312	#4047	—	2	4	no	—
313	C₂×#676	C₂³	1	1	yes	characteristic
314	C₂×#676	C₂³	1	1	yes	characteristic
315	C₂×#676	C₂³	1	1	yes	characteristic
316	C₂×#676	C₂³	1	1	yes	characteristic
317	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
318	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
319	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
320	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
321	#4044	—	2	1	no	—
322	#4044	—	2	1	no	—
323	#4044	—	2	1	no	—
324	#4044	—	2	1	no	—
325	#4044	—	2	1	no	—
326	#4044	—	2	1	no	—
327	#4043	—	2	1	no	—
328	#4043	C₂³	1	1	yes	characteristic
329	#4043	C₂³	1	1	yes	characteristic
330	#4042	—	2	1	no	—
331	#4042	—	2	1	no	—
332	#4042	—	2	1	no	—
333	#4042	—	2	1	no	—
334	#4042	—	2	1	no	—
335	#4042	—	2	1	no	—
336	#4041	—	2	1	no	—
337	#4041	C₂³	1	1	yes	characteristic
338	#4041	C₂³	1	1	yes	characteristic
339	#4040	—	2	1	no	—
340	#4040	—	2	1	no	—
341	#4040	—	2	1	no	—
342	#4040	—	2	1	no	—
343	#4040	—	2	1	no	—
344	#4040	—	2	1	no	—
345	#4039	—	2	1	no	—
346	#4039	C₂³	1	1	yes	characteristic
347	#4039	C₂³	1	1	yes	characteristic
348	#4038	—	2	1	no	—
349	#4038	C₂³	1	1	yes	characteristic
350	#4038	C₂³	1	1	yes	characteristic
351	D₅×C₄⋊C₄	—	2	1	no	—
352	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
353	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
354	#4036	—	2	1	no	—
355	#4036	C₂³	1	1	yes	characteristic
356	#4036	C₂³	1	1	yes	characteristic
357	#4035	—	2	1	no	—
358	#4035	—	2	1	no	—
359	#4035	—	2	1	no	—
360	#4035	—	2	1	no	—
361	#4035	—	2	1	no	—
362	#4035	—	2	1	no	—
363	#4034	—	2	1	no	—
364	#4034	C₂³	1	1	yes	characteristic
365	#4034	C₂³	1	1	yes	characteristic
366	#4033	—	2	1	no	—
367	#4033	C₂³	1	1	yes	characteristic
368	#4033	C₂³	1	1	yes	characteristic
369	#4032	—	2	1	no	—
370	#4031	—	2	1	no	—
371	#4031	—	2	1	no	—
372	#4031	—	2	1	no	—
373	#4031	—	2	1	no	—
374	#4030	—	2	1	no	—
375	#4030	—	2	1	no	—
376	#4030	—	2	1	no	—
377	#4030	—	2	1	no	—
378	#4029	—	2	1	no	—
379	#4029	—	2	1	no	—
380	#4029	—	2	1	no	—
381	#4029	—	2	1	no	—
382	#4028	—	2	1	no	—
383	#4027	—	2	1	no	—
384	#4027	—	2	1	no	—
385	D₅×C₂²⋊C₄	—	2	1	no	—
386	#4025	—	2	1	no	—
387	#4025	—	2	1	no	—
388	#4025	—	2	1	no	—
389	#4025	—	2	1	no	—
390	#4024	—	2	1	no	—
391	#4024	—	2	1	no	—
392	#4023	—	2	1	no	—
393	#4022	—	2	1	no	—
394	#4022	—	2	1	no	—
395	#4021	C₂³	1	1	yes	characteristic
396	#4021	C₂³	1	1	yes	characteristic
397	C₄×D₂₀	—	2	1	no	—
398	C₄×D₂₀	—	2	1	no	—
399	C₄×D₂₀	D₄	1	1	yes	characteristic
400	C₄×D₂₀	D₄	1	1	yes	characteristic
401	C₄×D₂₀	C₂³	1	1	yes	characteristic
402	C₄×D₂₀	C₂³	1	1	yes	characteristic
403	#4018	—	2	1	no	—
404	#4018	—	2	1	no	—
405	#4018	—	2	1	no	—
406	#4018	—	2	1	no	—
407	#4018	C₂³	1	1	yes	characteristic
408	#4018	C₂³	1	1	yes	characteristic
409	C₄²×D₅	—	2	1	no	—
410	C₄²×D₅	—	2	1	no	—
411	C₄²×D₅	C₂³	1	1	yes	characteristic
412	C₄²×D₅	C₂³	1	1	yes	characteristic
413	#4016	C₂³	1	1	yes	characteristic
414	#4016	C₂³	1	1	yes	characteristic
415	C₄×Dic₁₀	—	2	1	no	—
416	C₄×Dic₁₀	—	2	1	no	—
417	C₄×Dic₁₀	D₄	1	1	yes	characteristic
418	C₄×Dic₁₀	D₄	1	1	yes	characteristic
419	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
420	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
421	C₅×#106	C₂³	1	1	yes	characteristic
422	C₅×#106	C₂³	1	1	yes	characteristic
423	C₅×#106	C₂³	1	1	yes	characteristic
424	C₅×#106	C₂³	1	1	yes	characteristic
425	C₅×#103	C₂³	1	1	yes	characteristic
426	C₅×#103	C₂³	1	1	yes	characteristic
427	C₅×#103	C₂³	1	1	yes	characteristic
428	C₅×#103	C₂³	1	1	yes	characteristic
429	C₅×#102	C₂³	1	1	yes	characteristic
430	C₅×#102	C₂³	1	1	yes	characteristic
431	C₅×#102	C₂³	1	1	yes	characteristic
432	C₅×#102	C₂³	1	1	yes	characteristic
433	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
434	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
435	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
436	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
437	#3967	C₂³	1	1	yes	characteristic
438	#3967	C₂³	1	1	yes	characteristic
439	#3967	C₂³	1	1	yes	characteristic
440	#3967	C₂³	1	1	yes	characteristic
441	#3964	C₂³	1	1	yes	characteristic
442	#3964	C₂³	1	1	yes	characteristic
443	#3964	C₂³	1	1	yes	characteristic
444	#3964	C₂³	1	1	yes	characteristic
445	#3953	C₂³	1	1	yes	characteristic
446	#3953	C₂³	1	1	yes	characteristic
447	#3953	C₂³	1	1	yes	characteristic
448	#3953	C₂³	1	1	yes	characteristic
449	#3950	C₂³	1	1	yes	characteristic
450	#3950	C₂³	1	1	yes	characteristic
451	#3949	C₂³	1	1	yes	characteristic
452	#3949	C₂³	1	1	yes	characteristic
453	#3948	C₂³	1	1	yes	characteristic
454	#3948	C₂³	1	1	yes	characteristic
455	#3948	C₂³	1	1	yes	characteristic
456	#3948	C₂³	1	1	yes	characteristic
457	#3947	C₂³	1	1	yes	characteristic
458	#3947	C₂³	1	1	yes	characteristic
459	#3947	C₂³	1	1	yes	characteristic
460	#3947	C₂³	1	1	yes	characteristic
461	C₈×Dic₅	C₂³	1	1	yes	characteristic
462	C₈×Dic₅	C₂³	1	1	yes	characteristic
463	C₈×Dic₅	C₂³	1	1	yes	characteristic
464	C₈×Dic₅	C₂³	1	1	yes	characteristic
465	#3942	C₂³	1	1	yes	characteristic
466	#3942	C₂³	1	1	yes	characteristic
467	#3942	C₂³	1	1	yes	characteristic
468	#3942	C₂³	1	1	yes	characteristic
469	#3941	C₂³	1	1	yes	characteristic
470	#3941	C₂³	1	1	yes	characteristic
471	#3941	C₂³	1	1	yes	characteristic
472	#3941	C₂³	1	1	yes	characteristic
473	#3940	C₂³	1	1	yes	characteristic
474	#3940	C₂³	1	1	yes	characteristic
475	#3940	C₂³	1	1	yes	characteristic
476	#3940	C₂³	1	1	yes	characteristic
477	#3939	C₂³	1	1	yes	characteristic
478	#3939	C₂³	1	1	yes	characteristic
479	#3939	C₂³	1	1	yes	characteristic
480	#3939	C₂³	1	1	yes	characteristic
481	#3935	C₂³	1	1	yes	characteristic
482	#3935	C₂³	1	1	yes	characteristic
483	C₄×#168	C₂³	1	1	yes	characteristic
484	C₄×#168	C₂³	1	1	yes	characteristic
485	#3461	—	5	1	no	—
486	#3460	—	5	1	no	—
487	#3179	—	5	1	no	—
488	#3179	—	5	1	no	—
489	#3178	—	5	1	no	—
490	#3178	—	5	1	no	—
491	#3174	—	5	1	no	—
492	#3174	—	5	1	no	—
493	#3173	—	5	1	no	—
494	#3173	—	5	1	no	—
495	#3172	—	5	1	no	—
496	#3172	—	5	1	no	—
497	#3171	—	5	1	no	—
498	#3171	—	5	1	no	—
499	#3168	—	5	1	no	—
500	#3168	—	5	1	no	—
501	#3167	—	5	1	no	—
502	#3167	D₅	1	1	yes	characteristic, complemented
503	#3163	—	5	1	no	—
504	#3154	—	5	1	no	—
505	#3137	—	5	1	no	—
506	#3136	—	5	1	no	—
507	#3063	—	5	1	no	—
508	#3062	—	5	1	no	—
509	#3060	—	5	1	no	—
510	#3057	—	5	1	no	—
511	C₄×#137	—	5	1	no	—
512	C₄×AGL(1,ℤ/8)	—	5	1	no	—
513	C₄×#135	—	5	1	no	—
514	C₂×C₄×SD₁₆	—	5	1	no	—
515	C₄×#131	—	5	1	no	—
516	C₂³×D₅	—	2	1	no	—
517	C₅×#41	—	8	2	no	—
518	C₂×C₅×Q₈	—	2	1	no	—
519	C₂×C₅×Q₈	—	2	1	no	—
520	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
521	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
522	C₂×C₅×D₄	—	2	1	no	—
523	C₂×C₅×D₄	—	2	1	no	—
524	C₂×C₅×D₄	—	2	1	no	—
525	C₂×C₅×D₄	—	2	1	no	—
526	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
527	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₅	—	2	1	no	—
529	C₂²×C₄×C₅	—	2	1	no	—
530	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
531	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
532	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
533	C₂×C₂²⋊D₅	—	2	1	no	—
534	C₂×C₂²⋊D₅	—	2	1	no	—
535	C₂×C₂²⋊D₅	—	2	1	no	—
536	C₂×C₂²⋊D₅	—	2	1	no	—
537	C₂×C₂²⋊D₅	—	2	1	no	—
538	C₂×C₂²⋊D₅	—	2	1	no	—
539	C₂×C₂²⋊D₅	—	2	1	no	—
540	C₂×C₂²⋊D₅	—	2	1	no	—
541	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
542	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
543	C₂²×Dic₅	—	2	1	no	—
544	C₂²×Dic₅	—	2	1	no	—
545	C₂²×Dic₅	—	2	1	no	—
546	#713	—	2	2	no	—
547	#713	—	2	2	no	—
548	Q₈×D₅	—	2	2	no	—
549	Q₈×D₅	—	2	2	no	—
550	#711	—	2	2	no	—
551	#711	—	2	2	no	—
552	D₄×D₅	—	2	2	no	—
553	D₄×D₅	—	2	2	no	—
554	#709	—	2	2	no	—
555	#709	—	2	2	no	—
556	#709	—	8	2	no	—
557	C₂×D₂₀	—	2	1	no	—
558	C₂×D₂₀	—	2	1	no	—
559	C₂×D₂₀	—	2	1	no	—
560	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
561	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
562	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
563	C₂×C₄×D₅	—	2	1	no	—
564	C₂×C₄×D₅	—	2	1	no	—
565	C₂×C₄×D₅	—	2	1	no	—
566	C₂×C₄×D₅	—	2	1	no	—
567	C₂×C₄×D₅	—	2	1	no	—
568	C₂×C₄×D₅	—	2	1	no	—
569	C₂×C₄×D₅	—	2	1	no	—
570	C₂×C₄×D₅	—	2	1	no	—
571	C₂×C₄×D₅	—	8	2	no	—
572	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
573	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
574	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
575	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
576	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
577	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
578	C₂×Dic₁₀	—	2	1	no	—
579	C₂×Dic₁₀	—	2	1	no	—
580	C₂×Dic₁₀	—	2	1	no	—
581	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
582	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
583	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
584	C₅×SD₁₆	—	2	2	no	—
585	C₅×SD₁₆	—	2	2	no	—
586	C₅×SD₁₆	—	2	2	no	—
587	C₅×SD₁₆	—	2	2	no	—
588	C₂×C₅×C₈	—	2	2	no	—
589	C₂×C₅×C₈	—	2	2	no	—
590	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
591	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
592	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
593	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
594	C₅×C₄⋊C₄	—	2	1	no	—
595	C₅×C₄⋊C₄	—	2	1	no	—
596	C₅×C₄⋊C₄	—	2	1	no	—
597	C₅×C₄⋊C₄	—	2	1	no	—
598	C₅×C₄⋊C₄	—	2	1	no	—
599	C₅×C₄⋊C₄	—	2	1	no	—
600	C₅×C₄⋊C₄	—	2	1	no	—
601	C₅×C₄⋊C₄	—	2	1	no	—
602	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
603	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
604	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
605	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
606	C₅×C₂²⋊C₄	—	2	1	no	—
607	C₅×C₂²⋊C₄	—	2	1	no	—
608	C₅×C₂²⋊C₄	—	2	1	no	—
609	C₅×C₂²⋊C₄	—	2	1	no	—
610	C₅×C₂²⋊C₄	—	2	1	no	—
611	C₅×C₂²⋊C₄	—	2	1	no	—
612	C₄²×C₅	—	2	1	no	—
613	C₄²×C₅	—	2	1	no	—
614	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
615	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
616	C₄²×C₅	C₂⁴	1	1	yes	characteristic
617	C₄²×C₅	C₂⁴	1	1	yes	characteristic
618	C₂²⋊Dic₅	—	2	1	no	—
619	C₂²⋊Dic₅	—	2	1	no	—
620	C₂²⋊Dic₅	—	2	1	no	—
621	C₂²⋊Dic₅	—	2	1	no	—
622	C₂²⋊Dic₅	—	2	1	no	—
623	C₂²⋊Dic₅	—	2	1	no	—
624	C₂²⋊Dic₅	—	2	1	no	—
625	C₂²⋊Dic₅	—	2	1	no	—
626	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
627	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
628	#689	—	2	2	no	—
629	#689	—	2	2	no	—
630	#688	—	2	2	no	—
631	#688	—	2	2	no	—
632	#687	—	2	2	no	—
633	#687	—	2	2	no	—
634	#686	—	2	2	no	—
635	#686	—	2	2	no	—
636	#685	—	2	1	no	—
637	#685	—	2	1	no	—
638	#685	—	2	1	no	—
639	#685	—	2	1	no	—
640	#685	—	2	1	no	—
641	#685	—	2	1	no	—
642	#685	—	2	1	no	—
643	#685	—	2	1	no	—
644	#685	—	2	1	no	—
645	#685	—	2	1	no	—
646	#685	—	2	1	no	—
647	#685	—	2	1	no	—
648	#685	—	2	1	no	—
649	#685	—	2	1	no	—
650	#685	—	2	1	no	—
651	#685	—	2	1	no	—
652	#685	—	2	1	no	—
653	#685	—	2	1	no	—
654	#685	—	2	1	no	—
655	#685	—	2	1	no	—
656	#685	C₂×D₄	1	1	yes	characteristic
657	#685	C₂×D₄	1	1	yes	characteristic
658	#685	C₂×D₄	1	1	yes	characteristic
659	#685	C₂×D₄	1	1	yes	characteristic
660	C₄⋊Dic₅	—	2	1	no	—
661	C₄⋊Dic₅	—	2	1	no	—
662	C₄⋊Dic₅	—	2	1	no	—
663	C₄⋊Dic₅	—	2	1	no	—
664	C₄⋊Dic₅	—	2	1	no	—
665	C₄⋊Dic₅	—	2	1	no	—
666	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
667	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
668	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
669	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
670	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
671	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
672	#683	—	2	1	no	—
673	#683	—	2	1	no	—
674	#683	—	2	1	no	—
675	#683	—	2	1	no	—
676	#683	—	2	1	no	—
677	#683	—	2	1	no	—
678	#683	—	2	1	no	—
679	#683	—	2	1	no	—
680	#683	—	2	1	no	—
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	—	2	1	no	—
684	#683	—	2	1	no	—
685	#683	—	2	1	no	—
686	#683	—	2	1	no	—
687	#683	—	2	1	no	—
688	#683	—	2	1	no	—
689	#683	—	2	1	no	—
690	#683	—	2	1	no	—
691	#683	—	2	1	no	—
692	#683	C₂×D₄	1	1	yes	characteristic
693	#683	C₂×D₄	1	1	yes	characteristic
694	#683	C₂×D₄	1	1	yes	characteristic
695	#683	C₂×D₄	1	1	yes	characteristic
696	C₄×Dic₅	—	2	1	no	—
697	C₄×Dic₅	—	2	1	no	—
698	C₄×Dic₅	—	2	1	no	—
699	C₄×Dic₅	—	2	1	no	—
700	C₄×Dic₅	—	2	1	no	—
701	C₄×Dic₅	—	2	1	no	—
702	C₄×Dic₅	—	2	1	no	—
703	C₄×Dic₅	—	2	1	no	—
704	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
705	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
706	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
707	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
708	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
709	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
710	#681	—	2	2	no	—
711	#681	—	2	2	no	—
712	C₂×#168	C₂⁴	1	1	yes	characteristic
713	C₂×#168	C₂⁴	1	1	yes	characteristic
714	C₂×#168	C₂⁴	1	1	yes	characteristic
715	C₂×#168	C₂⁴	1	1	yes	characteristic
716	Dic₂₀	—	2	2	no	—
717	D₄₀	—	2	2	no	—
718	#677	—	2	2	no	—
719	#677	—	2	2	no	—
720	#676	—	2	2	no	—
721	#676	—	2	2	no	—
722	#676	—	2	2	no	—
723	#676	#41	1	4	yes	complemented
724	C₈×D₅	—	2	2	no	—
725	C₈×D₅	—	2	2	no	—
726	C₈×D₅	—	2	2	no	—
727	C₈×D₅	#41	1	4	yes	complemented
728	C₂×#137	—	5	1	no	—
729	C₂×AGL(1,ℤ/8)	—	5	1	no	—
730	C₂×#135	—	5	1	no	—
731	C₂²×SD₁₆	—	5	1	no	—
732	C₂×#131	—	5	1	no	—
733	C₂×#131	—	5	1	no	—
734	#544	—	5	1	no	—
735	#544	—	5	1	no	—
736	#542	—	5	1	no	—
737	#542	—	5	1	no	—
738	#542	—	5	1	no	—
739	#542	—	5	1	no	—
740	#542	—	10	1	no	—
741	#542	—	10	1	no	—
742	#541	—	5	1	no	—
743	#541	—	5	1	no	—
744	#541	—	10	1	no	—
745	#540	—	5	1	no	—
746	#540	—	5	1	no	—
747	#540	—	10	1	no	—
748	#539	—	10	1	no	—
749	#539	—	10	1	no	—
750	#538	—	10	1	no	—
751	#538	—	10	1	no	—
752	#537	—	5	1	no	—
753	#537	—	5	1	no	—
754	#536	—	5	1	no	—
755	#536	—	5	1	no	—
756	#535	—	5	1	no	—
757	#535	—	5	1	no	—
758	#533	—	5	1	no	—
759	#533	—	10	1	no	—
760	#533	C₂×D₅	1	1	yes	characteristic, complemented
761	#532	—	5	1	no	—
762	#532	—	10	1	no	—
763	#532	C₂×D₅	1	1	yes	characteristic
764	#529	—	5	1	no	—
765	#529	—	5	1	no	—
766	#529	—	5	1	no	—
767	#529	—	5	1	no	—
768	#529	—	10	1	no	—
769	#529	—	10	1	no	—
770	#529	—	10	1	no	—
771	#529	—	10	1	no	—
772	#525	—	10	1	no	—
773	#525	—	10	1	no	—
774	C₄×#41	—	5	1	no	—
775	C₄×#41	—	5	1	no	—
776	C₄×#41	—	5	1	no	—
777	C₂×C₄×Q₈	—	5	1	no	—
778	C₂×C₄×D₄	—	5	1	no	—
779	#501	—	5	1	no	—
780	#501	—	5	1	no	—
781	#501	—	5	1	no	—
782	#501	—	5	1	no	—
783	#499	—	5	1	no	—
784	#499	—	5	1	no	—
785	#498	—	5	1	no	—
786	#498	C₂×D₅	1	1	yes	characteristic, complemented
787	#497	—	5	1	no	—
788	#497	—	5	1	no	—
789	#496	—	5	1	no	—
790	#496	—	5	1	no	—
791	#495	—	5	1	no	—
792	#495	—	5	1	no	—
793	#492	—	5	1	no	—
794	#492	C₂×D₅	1	1	yes	characteristic
795	#491	—	5	1	no	—
796	#491	—	5	1	no	—
797	#490	—	5	1	no	—
798	#490	—	5	1	no	—
799	#489	—	5	1	no	—
800	#489	—	5	1	no	—
801	#489	—	5	1	no	—
802	#489	—	5	1	no	—
803	#488	—	5	1	no	—
804	#488	—	5	1	no	—
805	#488	—	5	1	no	—
806	#488	—	5	1	no	—
807	#487	—	5	1	no	—
808	#487	C₂×D₅	1	1	yes	characteristic, complemented
809	#486	—	5	1	no	—
810	#486	C₂×D₅	1	1	yes	characteristic
811	#470	—	5	1	no	—
812	#470	—	5	1	no	—
813	#470	—	5	1	no	—
814	#470	—	5	1	no	—
815	#469	—	5	1	no	—
816	#469	—	5	1	no	—
817	#469	—	5	1	no	—
818	#469	—	5	1	no	—
819	#468	—	5	1	no	—
820	#468	—	5	1	no	—
821	#468	—	5	1	no	—
822	#468	—	5	1	no	—
823	#468	—	5	1	no	—
824	#468	—	5	1	no	—
825	#468	—	5	1	no	—
826	#468	—	5	1	no	—
827	#467	—	5	1	no	—
828	#467	—	5	1	no	—
829	#466	—	5	1	no	—
830	#466	—	5	1	no	—
831	#465	—	5	1	no	—
832	#465	—	5	1	no	—
833	#465	—	5	1	no	—
834	#465	—	5	1	no	—
835	#465	—	5	1	no	—
836	#465	—	5	1	no	—
837	#465	—	5	1	no	—
838	#465	—	5	1	no	—
839	#465	C₂×D₅	1	1	yes	characteristic
840	#465	C₂×D₅	1	1	yes	characteristic
841	#465	C₂×D₅	1	1	yes	characteristic, complemented
842	#465	C₂×D₅	1	1	yes	characteristic, complemented
843	#442	—	5	1	no	—
844	#442	—	5	1	no	—
845	#441	—	5	1	no	—
846	#441	—	5	1	no	—
847	#440	—	5	1	no	—
848	#440	—	5	1	no	—
849	#440	—	5	1	no	—
850	#440	—	5	1	no	—
851	C₄×Q₁₆	—	5	1	no	—
852	C₄×Q₁₆	—	5	1	no	—
853	C₄×Q₁₆	—	5	1	no	—
854	C₄×Q₁₆	—	5	1	no	—
855	C₄×SD₁₆	—	5	1	no	—
856	C₄×SD₁₆	—	5	1	no	—
857	C₄×SD₁₆	—	5	1	no	—
858	C₄×SD₁₆	—	5	1	no	—
859	C₄×SD₁₆	—	5	1	no	—
860	C₄×SD₁₆	—	5	1	no	—
861	C₄×SD₁₆	—	5	1	no	—
862	C₄×SD₁₆	—	5	1	no	—
863	C₄×SD₁₆	—	5	1	no	—
864	C₄×SD₁₆	—	5	1	no	—
865	C₄×SD₁₆	—	5	1	no	—
866	C₄×SD₁₆	—	5	1	no	—
867	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
868	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
869	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
870	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
871	C₄×D₈	—	5	1	no	—
872	C₄×D₈	—	5	1	no	—
873	C₄×D₈	—	5	1	no	—
874	C₄×D₈	—	5	1	no	—
875	#428	—	5	1	no	—
876	#428	—	5	1	no	—
877	#427	—	5	1	no	—
878	C₂×#106	—	5	1	no	—
879	#419	—	5	1	no	—
880	#418	—	5	1	no	—
881	#417	—	5	1	no	—
882	#417	—	5	1	no	—
883	#416	—	5	1	no	—
884	#416	—	5	1	no	—
885	C₂×#103	—	5	1	no	—
886	C₂×#102	—	5	1	no	—
887	#405	—	5	1	no	—
888	#405	—	5	1	no	—
889	#405	—	5	1	no	—
890	#405	—	5	1	no	—
891	#405	—	5	1	no	—
892	#405	—	5	1	no	—
893	C₄×M₁₆	—	5	1	no	—
894	C₄×M₁₆	—	5	1	no	—
895	C₄×M₁₆	—	5	1	no	—
896	C₂×C₄×C₈	—	5	1	no	—
897	C₂×C₄×C₈	—	5	1	no	—
898	C₂×C₄×C₈	C₂×D₅	1	1	yes	characteristic, complemented
899	C₂³×C₅	—	2	1	no	—
900	C₂³×C₅	—	2	1	no	—
901	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
902	C₂²×D₅	—	2	1	no	—
903	C₂²×D₅	—	2	1	no	—
904	C₂²×D₅	—	4	2	no	—
905	C₂²×D₅	—	8	1	no	—
906	C₂²×D₅	—	8	1	no	—
907	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
908	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
909	C₅×Q₈	—	2	1	no	—
910	C₅×Q₈	—	2	1	no	—
911	C₅×Q₈	—	2	1	no	—
912	C₅×Q₈	—	2	1	no	—
913	C₅×Q₈	—	8	1	no	—
914	C₅×Q₈	—	8	1	no	—
915	C₅×D₄	—	2	1	no	—
916	C₅×D₄	—	2	1	no	—
917	C₅×D₄	—	2	1	no	—
918	C₅×D₄	—	2	1	no	—
919	C₅×D₄	—	8	1	no	—
920	C₅×D₄	—	8	1	no	—
921	C₅×D₄	—	8	1	no	—
922	C₅×D₄	—	8	1	no	—
923	C₂×C₄×C₅	—	2	2	no	—
924	C₂×C₄×C₅	—	2	1	no	—
925	C₂×C₄×C₅	—	2	1	no	—
926	C₂×C₄×C₅	—	2	1	no	—
927	C₂×C₄×C₅	—	2	1	no	—
928	C₂×C₄×C₅	—	2	1	no	—
929	C₂×C₄×C₅	—	2	1	no	—
930	C₂×C₄×C₅	—	2	1	no	—
931	C₂×C₄×C₅	—	2	1	no	—
932	C₂×C₄×C₅	—	4	1	no	—
933	C₂×C₄×C₅	—	4	2	no	—
934	C₂×C₄×C₅	—	4	2	no	—
935	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
936	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
937	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
938	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
939	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
940	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
941	C₂²⋊D₅	—	2	2	no	—
942	C₂²⋊D₅	—	2	2	no	—
943	C₂²⋊D₅	—	4	2	no	—
944	C₂²⋊D₅	—	4	2	no	—
945	C₂²⋊D₅	—	8	1	no	—
946	C₂²⋊D₅	—	8	1	no	—
947	C₂²⋊D₅	—	8	1	no	—
948	C₂²⋊D₅	—	8	1	no	—
949	C₂²⋊D₅	—	8	1	no	—
950	C₂²⋊D₅	—	8	1	no	—
951	C₂×Dic₅	—	2	1	no	—
952	C₂×Dic₅	—	2	1	no	—
953	C₂×Dic₅	—	2	1	no	—
954	C₂×Dic₅	—	2	1	no	—
955	C₂×Dic₅	—	2	1	no	—
956	C₂×Dic₅	—	2	1	no	—
957	C₂×Dic₅	—	4	2	no	—
958	C₂×Dic₅	—	8	1	no	—
959	C₂×Dic₅	—	8	1	no	—
960	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
961	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
962	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
963	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
964	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
965	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
966	D₂₀	—	2	2	no	—
967	D₂₀	—	2	1	no	—
968	D₂₀	—	2	1	no	—
969	D₂₀	—	2	1	no	—
970	D₂₀	—	2	1	no	—
971	D₂₀	—	4	2	no	—
972	D₂₀	—	8	1	no	—
973	D₂₀	—	8	1	no	—
974	C₄×D₅	—	2	2	no	—
975	C₄×D₅	—	2	2	no	—
976	C₄×D₅	—	2	1	no	—
977	C₄×D₅	—	2	1	no	—
978	C₄×D₅	—	4	1	no	—
979	C₄×D₅	—	4	1	no	—
980	C₄×D₅	—	4	2	no	—
981	C₄×D₅	—	4	2	no	—
982	C₄×D₅	—	4	2	no	—
983	C₄×D₅	—	4	2	no	—
984	C₄×D₅	—	8	1	no	—
985	C₄×D₅	—	8	1	no	—
986	C₄×D₅	—	8	1	no	—
987	C₄×D₅	—	8	1	no	—
988	C₄×D₅	C₂×#41	1	2	yes	—
989	C₄×D₅	C₂×#41	1	2	yes	—
990	Dic₁₀	—	2	2	no	—
991	Dic₁₀	—	2	1	no	—
992	Dic₁₀	—	2	1	no	—
993	Dic₁₀	—	2	1	no	—
994	Dic₁₀	—	2	1	no	—
995	Dic₁₀	—	4	2	no	—
996	Dic₁₀	—	8	1	no	—
997	Dic₁₀	—	8	1	no	—
998	C₅×C₈	—	2	1	no	—
999	C₅×C₈	—	2	1	no	—
1000	C₅×C₈	C₂×#41	1	2	yes	—
1001	C₅×C₈	C₂×#41	1	2	yes	—
1002	#168	—	2	1	no	—
1003	#168	—	2	1	no	—
1004	#168	C₂×#41	1	2	yes	—
1005	#168	C₂×#41	1	2	yes	—
1006	C₂×#41	—	2	1	no	—
1007	C₂×#41	—	5	1	no	—
1008	C₂×#41	—	5	1	no	—
1009	C₂×#41	—	5	1	no	—
1010	C₂×#41	—	10	1	no	—
1011	C₂²×Q₈	—	5	1	no	—
1012	C₂²×D₄	—	5	1	no	—
1013	C₂³×C₄	—	10	1	no	—
1014	#137	—	10	4	no	—
1015	AGL(1,ℤ/8)	—	10	4	no	—
1016	#135	—	10	4	no	—
1017	C₂×Q₁₆	—	5	1	no	—
1018	C₂×Q₁₆	—	5	1	no	—
1019	C₂×Q₁₆	—	5	1	no	—
1020	C₂×SD₁₆	—	5	1	no	—
1021	C₂×SD₁₆	—	5	1	no	—
1022	C₂×SD₁₆	—	5	1	no	—
1023	C₂×SD₁₆	—	5	1	no	—
1024	C₂×SD₁₆	—	5	1	no	—
1025	C₂×SD₁₆	—	5	1	no	—
1026	C₂×SD₁₆	—	10	4	no	—
1027	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1028	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1029	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1030	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1031	C₂×D₈	—	5	1	no	—
1032	C₂×D₈	—	5	1	no	—
1033	C₂×D₈	—	5	1	no	—
1034	#131	—	10	4	no	—
1035	#131	—	10	4	no	—
1036	C₂×M₁₆	—	5	1	no	—
1037	C₂×M₁₆	—	5	1	no	—
1038	C₂×M₁₆	—	5	1	no	—
1039	C₂×M₁₆	—	5	1	no	—
1040	C₂×M₁₆	—	5	1	no	—
1041	C₂×M₁₆	—	5	1	no	—
1042	C₂²×C₈	—	5	1	no	—
1043	C₂²×C₈	—	5	1	no	—
1044	C₂²×C₈	—	5	1	no	—
1045	C₂²×C₈	—	5	1	no	—
1046	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1047	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1048	C₄⋊Q₈	—	5	1	no	—
1049	C₄⋊Q₈	—	5	1	no	—
1050	C₄⋊Q₈	—	5	1	no	—
1051	C₄⋊Q₈	—	10	1	no	—
1052	C₄⋊Q₈	—	10	1	no	—
1053	C₄⋊Q₈	—	10	1	no	—
1054	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1055	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1056	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1057	#127	—	5	1	no	—
1058	#127	—	10	1	no	—
1059	#127	C₂²×D₅	1	1	yes	characteristic
1060	#126	—	10	1	no	—
1061	#126	—	10	1	no	—
1062	#126	—	10	1	no	—
1063	#126	—	10	1	no	—
1064	#126	—	10	1	no	—
1065	#126	—	10	1	no	—
1066	#126	—	10	1	no	—
1067	#126	—	10	1	no	—
1068	#126	—	10	1	no	—
1069	#126	—	10	1	no	—
1070	#126	—	10	1	no	—
1071	#126	—	10	1	no	—
1072	#125	—	2	1	no	—
1073	#125	—	5	1	no	—
1074	#125	—	5	1	no	—
1075	#125	—	5	1	no	—
1076	#125	—	5	1	no	—
1077	#125	—	10	1	no	—
1078	#125	—	10	1	no	—
1079	#125	—	10	1	no	—
1080	#125	—	10	1	no	—
1081	#125	—	10	1	no	—
1082	#125	—	10	1	no	—
1083	#125	—	10	1	no	—
1084	#124	—	2	1	no	—
1085	#124	—	5	1	no	—
1086	#124	—	5	1	no	—
1087	#124	—	5	1	no	—
1088	#124	—	5	1	no	—
1089	#124	—	10	1	no	—
1090	#124	—	10	1	no	—
1091	#124	—	10	1	no	—
1092	#124	—	10	1	no	—
1093	#124	—	10	1	no	—
1094	#124	—	10	1	no	—
1095	#124	—	10	1	no	—
1096	#123	—	10	1	no	—
1097	#123	—	10	1	no	—
1098	#123	—	10	1	no	—
1099	#123	—	10	1	no	—
1100	#123	—	10	1	no	—
1101	#123	—	10	1	no	—
1102	#123	—	10	1	no	—
1103	#123	—	10	1	no	—
1104	#123	—	10	1	no	—
1105	#123	—	10	1	no	—
1106	#123	—	10	1	no	—
1107	#123	—	10	1	no	—
1108	#123	—	10	1	no	—
1109	#123	—	10	1	no	—
1110	#123	—	10	1	no	—
1111	#123	—	10	1	no	—
1112	C₂²⋊Q₈	—	2	1	no	—
1113	C₂²⋊Q₈	—	5	1	no	—
1114	C₂²⋊Q₈	—	5	1	no	—
1115	C₂²⋊Q₈	—	5	1	no	—
1116	C₂²⋊Q₈	—	5	1	no	—
1117	C₂²⋊Q₈	—	5	1	no	—
1118	C₂²⋊Q₈	—	5	1	no	—
1119	C₂²⋊Q₈	—	10	1	no	—
1120	C₂²⋊Q₈	—	10	1	no	—
1121	C₂²⋊Q₈	—	10	1	no	—
1122	C₂²⋊Q₈	—	10	1	no	—
1123	C₂²⋊Q₈	—	10	1	no	—
1124	C₂²⋊Q₈	—	10	1	no	—
1125	C₂²⋊Q₈	—	10	1	no	—
1126	C₂²⋊Q₈	—	10	1	no	—
1127	C₂²⋊Q₈	—	10	1	no	—
1128	C₂²⋊Q₈	—	10	1	no	—
1129	C₂²⋊Q₈	—	10	1	no	—
1130	C₂²⋊Q₈	—	10	1	no	—
1131	C₂²⋊Q₈	—	10	1	no	—
1132	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1133	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1134	#121	—	2	1	no	—
1135	#121	—	5	1	no	—
1136	#121	—	5	1	no	—
1137	#121	—	5	1	no	—
1138	#121	—	5	1	no	—
1139	#121	—	5	1	no	—
1140	#121	—	5	1	no	—
1141	#121	—	10	1	no	—
1142	#121	—	10	1	no	—
1143	#121	—	10	1	no	—
1144	#121	—	10	1	no	—
1145	#121	—	10	1	no	—
1146	#121	—	10	1	no	—
1147	#121	—	10	1	no	—
1148	#121	—	10	1	no	—
1149	#121	—	10	1	no	—
1150	#121	—	10	1	no	—
1151	#121	—	10	1	no	—
1152	#121	—	10	1	no	—
1153	#121	—	10	1	no	—
1154	#121	C₂²×D₅	1	1	yes	characteristic
1155	#121	C₂²×D₅	1	1	yes	characteristic
1156	#120	—	10	1	no	—
1157	#120	—	10	1	no	—
1158	#120	—	10	1	no	—
1159	#120	—	10	1	no	—
1160	C₄×Q₈	—	2	1	no	—
1161	C₄×Q₈	—	5	1	no	—
1162	C₄×Q₈	—	5	1	no	—
1163	C₄×Q₈	—	5	1	no	—
1164	C₄×Q₈	—	5	1	no	—
1165	C₄×Q₈	—	5	1	no	—
1166	C₄×Q₈	—	5	1	no	—
1167	C₄×Q₈	—	5	1	no	—
1168	C₄×Q₈	—	5	1	no	—
1169	C₄×Q₈	—	10	1	no	—
1170	C₄×Q₈	—	10	1	no	—
1171	C₄×Q₈	—	10	1	no	—
1172	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1173	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1174	C₄×D₄	—	2	1	no	—
1175	C₄×D₄	—	5	1	no	—
1176	C₄×D₄	—	5	1	no	—
1177	C₄×D₄	—	5	1	no	—
1178	C₄×D₄	—	5	1	no	—
1179	C₄×D₄	—	5	1	no	—
1180	C₄×D₄	—	5	1	no	—
1181	C₄×D₄	—	5	1	no	—
1182	C₄×D₄	—	5	1	no	—
1183	C₄×D₄	—	5	1	no	—
1184	C₄×D₄	—	5	1	no	—
1185	C₄×D₄	—	5	1	no	—
1186	C₄×D₄	—	5	1	no	—
1187	C₄×D₄	—	10	1	no	—
1188	C₄×D₄	—	10	1	no	—
1189	C₄×D₄	—	10	1	no	—
1190	C₄×D₄	—	10	1	no	—
1191	C₄×D₄	—	10	1	no	—
1192	C₄×D₄	—	10	1	no	—
1193	C₄×D₄	—	10	1	no	—
1194	C₄×D₄	—	10	1	no	—
1195	C₄×D₄	—	10	1	no	—
1196	C₄×D₄	—	10	1	no	—
1197	C₄×D₄	—	10	1	no	—
1198	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1199	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1200	#117	—	2	1	no	—
1201	#117	—	5	1	no	—
1202	#117	—	5	1	no	—
1203	#117	—	5	1	no	—
1204	#117	—	5	1	no	—
1205	#117	—	5	1	no	—
1206	#117	—	10	1	no	—
1207	#117	—	10	1	no	—
1208	#117	—	10	1	no	—
1209	#117	—	10	1	no	—
1210	#117	—	10	1	no	—
1211	#117	—	10	1	no	—
1212	#117	—	10	1	no	—
1213	C₂×C₄⋊C₄	—	5	1	no	—
1214	C₂×C₄⋊C₄	—	5	1	no	—
1215	C₂×C₄⋊C₄	—	10	1	no	—
1216	C₂×C₂²⋊C₄	—	10	1	no	—
1217	C₂×C₄²	—	5	1	no	—
1218	C₂×C₄²	—	5	1	no	—
1219	C₂×C₄²	—	10	1	no	—
1220	C₂×C₄²	—	10	1	no	—
1221	C₂×C₄²	—	10	1	no	—
1222	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1223	#107	—	5	1	no	—
1224	#107	—	5	1	no	—
1225	#107	—	5	1	no	—
1226	#107	—	5	1	no	—
1227	#107	—	5	1	no	—
1228	#107	—	5	1	no	—
1229	#106	—	5	1	no	—
1230	#106	—	5	1	no	—
1231	#106	—	5	1	no	—
1232	#106	—	5	1	no	—
1233	#106	—	5	1	no	—
1234	#106	—	5	1	no	—
1235	#106	C₂²×D₅	1	1	yes	characteristic
1236	#106	C₂²×D₅	1	1	yes	characteristic
1237	#106	C₂²×D₅	1	1	yes	characteristic
1238	#106	C₂²×D₅	1	1	yes	characteristic
1239	#103	—	5	1	no	—
1240	#103	—	5	1	no	—
1241	#103	—	5	1	no	—
1242	#103	—	5	1	no	—
1243	#103	—	5	1	no	—
1244	#103	—	5	1	no	—
1245	#103	—	5	1	no	—
1246	#103	—	5	1	no	—
1247	#103	—	5	1	no	—
1248	#103	—	5	1	no	—
1249	#103	—	5	1	no	—
1250	#103	—	5	1	no	—
1251	#103	C₂²×D₅	1	1	yes	characteristic
1252	#103	C₂²×D₅	1	1	yes	characteristic
1253	#103	C₂²×D₅	1	1	yes	characteristic
1254	#103	C₂²×D₅	1	1	yes	characteristic
1255	#102	—	5	1	no	—
1256	#102	—	5	1	no	—
1257	#102	—	5	1	no	—
1258	#102	—	5	1	no	—
1259	#102	—	5	1	no	—
1260	#102	—	5	1	no	—
1261	#102	—	5	1	no	—
1262	#102	—	5	1	no	—
1263	#102	—	5	1	no	—
1264	#102	—	5	1	no	—
1265	#102	—	5	1	no	—
1266	#102	—	5	1	no	—
1267	#102	C₂²×D₅	1	1	yes	characteristic
1268	#102	C₂²×D₅	1	1	yes	characteristic
1269	#102	C₂²×D₅	1	1	yes	characteristic
1270	#102	C₂²×D₅	1	1	yes	characteristic
1271	#97	—	5	1	no	—
1272	#97	—	5	1	no	—
1273	#97	—	5	1	no	—
1274	#97	—	5	1	no	—
1275	#97	—	5	1	no	—
1276	#97	—	5	1	no	—
1277	C₄×C₈	—	5	1	no	—
1278	C₄×C₈	—	5	1	no	—
1279	C₄×C₈	—	5	1	no	—
1280	C₄×C₈	—	5	1	no	—
1281	C₄×C₈	—	5	1	no	—
1282	C₄×C₈	—	5	1	no	—
1283	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1284	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1285	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1286	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1287	C₂²×C₅	—	2	1	no	—
1288	C₂²×C₅	—	2	1	no	—
1289	C₂²×C₅	—	2	1	no	—
1290	C₂²×C₅	—	4	1	no	—
1291	C₂²×C₅	—	4	1	no	—
1292	C₂²×C₅	—	4	1	no	—
1293	C₂²×C₅	—	4	1	no	—
1294	C₂²×C₅	—	4	1	no	—
1295	C₂²×C₅	—	4	1	no	—
1296	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1297	C₂×D₅	—	2	1	no	—
1298	C₂×D₅	—	2	1	no	—
1299	C₂×D₅	—	2	1	no	—
1300	C₂×D₅	—	2	1	no	—
1301	C₂×D₅	—	2	1	no	—
1302	C₂×D₅	—	4	1	no	—
1303	C₂×D₅	—	4	1	no	—
1304	C₂×D₅	—	4	1	no	—
1305	C₂×D₅	—	4	1	no	—
1306	C₂×D₅	—	4	1	no	—
1307	C₂×D₅	—	4	1	no	—
1308	C₂×D₅	—	8	4	no	—
1309	C₂×D₅	#532	1	2	yes	—
1310	C₄×C₅	—	2	1	no	—
1311	C₄×C₅	—	2	1	no	—
1312	C₄×C₅	—	2	1	no	—
1313	C₄×C₅	—	2	1	no	—
1314	C₄×C₅	—	4	1	no	—
1315	C₄×C₅	—	4	1	no	—
1316	C₄×C₅	—	4	1	no	—
1317	C₄×C₅	—	4	1	no	—
1318	C₄×C₅	—	4	1	no	—
1319	C₄×C₅	—	4	1	no	—
1320	C₄×C₅	#577	1	2	yes	—
1321	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1322	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1323	Dic₅	—	2	1	no	—
1324	Dic₅	—	2	1	no	—
1325	Dic₅	—	2	1	no	—
1326	Dic₅	—	2	1	no	—
1327	Dic₅	—	2	1	no	—
1328	Dic₅	—	4	1	no	—
1329	Dic₅	—	4	1	no	—
1330	Dic₅	—	4	1	no	—
1331	Dic₅	—	4	1	no	—
1332	Dic₅	—	4	1	no	—
1333	Dic₅	—	4	1	no	—
1334	Dic₅	#532	1	2	yes	—
1335	C₂⁴	—	10	1	no	—
1336	#41	—	8	2	no	—
1337	#41	—	10	2	no	—
1338	#41	—	10	2	no	—
1339	#41	—	10	2	no	—
1340	#41	—	10	2	no	—
1341	#41	—	10	2	no	—
1342	#41	—	10	2	no	—
1343	#41	—	40	2	no	—
1344	C₂×Q₈	—	2	1	no	—
1345	C₂×Q₈	—	2	1	no	—
1346	C₂×Q₈	—	5	1	no	—
1347	C₂×Q₈	—	5	1	no	—
1348	C₂×Q₈	—	5	1	no	—
1349	C₂×Q₈	—	10	1	no	—
1350	C₂×Q₈	—	10	1	no	—
1351	C₂×Q₈	—	10	1	no	—
1352	C₂×Q₈	—	10	2	no	—
1353	C₂×Q₈	—	10	2	no	—
1354	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1355	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1356	C₂×D₄	—	2	1	no	—
1357	C₂×D₄	—	2	1	no	—
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	2	1	no	—
1360	C₂×D₄	—	5	1	no	—
1361	C₂×D₄	—	5	1	no	—
1362	C₂×D₄	—	5	1	no	—
1363	C₂×D₄	—	5	1	no	—
1364	C₂×D₄	—	5	1	no	—
1365	C₂×D₄	—	10	1	no	—
1366	C₂×D₄	—	10	1	no	—
1367	C₂×D₄	—	10	1	no	—
1368	C₂×D₄	—	10	2	no	—
1369	C₂×D₄	—	10	2	no	—
1370	C₂×D₄	—	10	1	no	—
1371	C₂×D₄	—	10	1	no	—
1372	C₂×D₄	—	10	1	no	—
1373	C₂×D₄	—	10	1	no	—
1374	C₂×D₄	—	10	1	no	—
1375	C₂×D₄	—	10	1	no	—
1376	C₂×D₄	—	10	1	no	—
1377	C₂×D₄	—	10	1	no	—
1378	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1379	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1380	C₂²×C₄	—	2	1	no	—
1381	C₂²×C₄	—	2	1	no	—
1382	C₂²×C₄	—	5	1	no	—
1383	C₂²×C₄	—	5	1	no	—
1384	C₂²×C₄	—	5	1	no	—
1385	C₂²×C₄	—	5	1	no	—
1386	C₂²×C₄	—	5	1	no	—
1387	C₂²×C₄	—	5	1	no	—
1388	C₂²×C₄	—	10	1	no	—
1389	C₂²×C₄	—	10	1	no	—
1390	C₂²×C₄	—	10	1	no	—
1391	C₂²×C₄	—	10	1	no	—
1392	C₂²×C₄	—	10	1	no	—
1393	C₂²×C₄	—	10	1	no	—
1394	C₂²×C₄	—	10	1	no	—
1395	C₂²×C₄	—	10	1	no	—
1396	C₂²×C₄	—	10	1	no	—
1397	C₂²×C₄	—	10	1	no	—
1398	C₂²×C₄	—	10	1	no	—
1399	C₂²×C₄	—	40	2	no	—
1400	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1401	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1402	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1403	Q₁₆	—	10	2	no	—
1404	Q₁₆	—	10	2	no	—
1405	Q₁₆	—	10	2	no	—
1406	SD₁₆	—	2	2	no	—
1407	SD₁₆	—	2	2	no	—
1408	SD₁₆	—	2	2	no	—
1409	SD₁₆	—	2	2	no	—
1410	SD₁₆	—	10	2	no	—
1411	SD₁₆	—	10	2	no	—
1412	SD₁₆	—	10	2	no	—
1413	SD₁₆	—	10	2	no	—
1414	SD₁₆	—	10	2	no	—
1415	SD₁₆	—	10	2	no	—
1416	D₈	—	10	2	no	—
1417	D₈	—	10	2	no	—
1418	D₈	—	10	2	no	—
1419	M₁₆	—	5	4	no	—
1420	M₁₆	—	10	2	no	—
1421	M₁₆	—	10	2	no	—
1422	M₁₆	—	10	2	no	—
1423	M₁₆	—	10	2	no	—
1424	M₁₆	—	10	2	no	—
1425	C₂×C₈	—	2	2	no	—
1426	C₂×C₈	—	2	2	no	—
1427	C₂×C₈	—	5	1	no	—
1428	C₂×C₈	—	5	1	no	—
1429	C₂×C₈	—	5	4	no	—
1430	C₂×C₈	—	5	1	no	—
1431	C₂×C₈	—	5	1	no	—
1432	C₂×C₈	—	10	2	no	—
1433	C₂×C₈	—	10	2	no	—
1434	C₂×C₈	—	10	2	no	—
1435	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1436	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1437	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1438	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	5	1	no	—
1448	C₄⋊C₄	—	5	1	no	—
1449	C₄⋊C₄	—	5	1	no	—
1450	C₄⋊C₄	—	5	1	no	—
1451	C₄⋊C₄	—	5	1	no	—
1452	C₄⋊C₄	—	5	1	no	—
1453	C₄⋊C₄	—	5	1	no	—
1454	C₄⋊C₄	—	5	1	no	—
1455	C₄⋊C₄	—	5	1	no	—
1456	C₄⋊C₄	—	5	1	no	—
1457	C₄⋊C₄	—	10	1	no	—
1458	C₄⋊C₄	—	10	1	no	—
1459	C₄⋊C₄	—	10	1	no	—
1460	C₄⋊C₄	—	10	1	no	—
1461	C₄⋊C₄	—	10	1	no	—
1462	C₄⋊C₄	—	10	1	no	—
1463	C₄⋊C₄	—	10	1	no	—
1464	C₄⋊C₄	—	10	1	no	—
1465	C₄⋊C₄	—	10	1	no	—
1466	C₄⋊C₄	—	10	1	no	—
1467	C₄⋊C₄	—	10	1	no	—
1468	C₄⋊C₄	—	10	1	no	—
1469	C₄⋊C₄	—	10	1	no	—
1470	C₄⋊C₄	—	10	1	no	—
1471	C₄⋊C₄	—	10	1	no	—
1472	C₄⋊C₄	—	10	1	no	—
1473	C₄⋊C₄	—	10	1	no	—
1474	C₄⋊C₄	—	10	1	no	—
1475	C₄⋊C₄	—	10	1	no	—
1476	C₄⋊C₄	—	10	1	no	—
1477	C₄⋊C₄	—	10	1	no	—
1478	C₄⋊C₄	—	10	1	no	—
1479	C₄⋊C₄	—	10	1	no	—
1480	C₄⋊C₄	—	10	1	no	—
1481	C₄⋊C₄	—	10	1	no	—
1482	C₄⋊C₄	—	10	1	no	—
1483	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1484	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1485	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1486	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	5	1	no	—
1494	C₂²⋊C₄	—	5	1	no	—
1495	C₂²⋊C₄	—	5	1	no	—
1496	C₂²⋊C₄	—	5	1	no	—
1497	C₂²⋊C₄	—	5	1	no	—
1498	C₂²⋊C₄	—	5	1	no	—
1499	C₂²⋊C₄	—	10	1	no	—
1500	C₂²⋊C₄	—	10	1	no	—
1501	C₂²⋊C₄	—	10	1	no	—
1502	C₂²⋊C₄	—	10	1	no	—
1503	C₂²⋊C₄	—	10	1	no	—
1504	C₂²⋊C₄	—	10	1	no	—
1505	C₂²⋊C₄	—	10	1	no	—
1506	C₂²⋊C₄	—	10	1	no	—
1507	C₂²⋊C₄	—	10	1	no	—
1508	C₂²⋊C₄	—	10	1	no	—
1509	C₂²⋊C₄	—	10	1	no	—
1510	C₂²⋊C₄	—	10	1	no	—
1511	C₂²⋊C₄	—	10	1	no	—
1512	C₂²⋊C₄	—	10	1	no	—
1513	C₂²⋊C₄	—	10	1	no	—
1514	C₂²⋊C₄	—	10	1	no	—
1515	C₂²⋊C₄	—	10	1	no	—
1516	C₂²⋊C₄	—	10	1	no	—
1517	C₂²⋊C₄	—	10	1	no	—
1518	C₂²⋊C₄	—	10	1	no	—
1519	C₂²⋊C₄	—	10	1	no	—
1520	C₂²⋊C₄	—	10	1	no	—
1521	C₂²⋊C₄	—	10	1	no	—
1522	C₂²⋊C₄	—	10	1	no	—
1523	C₂²⋊C₄	—	10	1	no	—
1524	C₂²⋊C₄	—	10	1	no	—
1525	C₂²⋊C₄	—	10	1	no	—
1526	C₂²⋊C₄	—	10	1	no	—
1527	C₄²	—	2	1	no	—
1528	C₄²	—	2	1	no	—
1529	C₄²	—	5	1	no	—
1530	C₄²	—	5	1	no	—
1531	C₄²	—	5	1	no	—
1532	C₄²	—	5	1	no	—
1533	C₄²	—	5	1	no	—
1534	C₄²	—	5	1	no	—
1535	C₄²	—	10	1	no	—
1536	C₄²	—	10	1	no	—
1537	C₄²	—	10	1	no	—
1538	C₄²	—	10	1	no	—
1539	C₄²	—	10	1	no	—
1540	C₄²	—	10	1	no	—
1541	C₄²	—	10	1	no	—
1542	C₄²	—	10	1	no	—
1543	C₄²	D₄×D₅	1	1	yes	characteristic
1544	C₄²	D₄×D₅	1	1	yes	characteristic
1545	C₄²	C₂³×D₅	1	1	yes	characteristic
1546	C₄²	C₂³×D₅	1	1	yes	characteristic
1547	C₂×C₅	—	4	1	no	—
1548	C₂×C₅	—	8	1	no	—
1549	C₂×C₅	—	8	1	no	—
1550	C₂×C₅	C₂×#532	1	1	yes	characteristic
1551	C₂×C₅	C₂×#577	1	1	yes	characteristic
1552	C₂×C₅	#3584	1	1	yes	characteristic
1553	D₅	—	2	2	no	—
1554	D₅	—	4	1	no	—
1555	D₅	—	8	1	no	—
1556	D₅	—	8	1	no	—
1557	C₂³	—	2	1	no	—
1558	C₂³	—	2	1	no	—
1559	C₂³	—	5	1	no	—
1560	C₂³	—	5	1	no	—
1561	C₂³	—	10	1	no	—
1562	C₂³	—	10	1	no	—
1563	C₂³	—	20	2	no	—
1564	C₂³	—	40	1	no	—
1565	C₂³	—	40	1	no	—
1566	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1567	Q₈	—	2	1	no	—
1568	Q₈	—	2	1	no	—
1569	Q₈	—	2	1	no	—
1570	Q₈	—	2	1	no	—
1571	Q₈	—	8	1	no	—
1572	Q₈	—	8	1	no	—
1573	Q₈	—	10	2	no	—
1574	Q₈	—	10	1	no	—
1575	Q₈	—	10	1	no	—
1576	Q₈	—	10	1	no	—
1577	Q₈	—	10	1	no	—
1578	Q₈	—	20	2	no	—
1579	Q₈	—	40	1	no	—
1580	Q₈	—	40	1	no	—
1581	D₄	—	2	1	no	—
1582	D₄	—	2	1	no	—
1583	D₄	—	2	1	no	—
1584	D₄	—	2	1	no	—
1585	D₄	—	8	1	no	—
1586	D₄	—	8	1	no	—
1587	D₄	—	8	1	no	—
1588	D₄	—	8	1	no	—
1589	D₄	—	10	2	no	—
1590	D₄	—	10	2	no	—
1591	D₄	—	10	2	no	—
1592	D₄	—	10	1	no	—
1593	D₄	—	10	1	no	—
1594	D₄	—	10	1	no	—
1595	D₄	—	10	1	no	—
1596	D₄	—	20	2	no	—
1597	D₄	—	20	2	no	—
1598	D₄	—	20	2	no	—
1599	D₄	—	40	1	no	—
1600	D₄	—	40	1	no	—
1601	D₄	—	40	1	no	—
1602	D₄	—	40	1	no	—
1603	D₄	—	40	1	no	—
1604	D₄	—	40	1	no	—
1605	D₄	—	40	1	no	—
1606	D₄	—	40	1	no	—
1607	C₂×C₄	—	2	2	no	—
1608	C₂×C₄	—	2	1	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	2	1	no	—
1613	C₂×C₄	—	2	1	no	—
1614	C₂×C₄	—	2	1	no	—
1615	C₂×C₄	—	2	1	no	—
1616	C₂×C₄	—	4	1	no	—
1617	C₂×C₄	—	4	2	no	—
1618	C₂×C₄	—	4	2	no	—
1619	C₂×C₄	—	5	1	no	—
1620	C₂×C₄	—	5	2	no	—
1621	C₂×C₄	—	5	2	no	—
1622	C₂×C₄	—	5	1	no	—
1623	C₂×C₄	—	5	1	no	—
1624	C₂×C₄	—	5	1	no	—
1625	C₂×C₄	—	5	1	no	—
1626	C₂×C₄	—	5	1	no	—
1627	C₂×C₄	—	10	2	no	—
1628	C₂×C₄	—	10	2	no	—
1629	C₂×C₄	—	10	1	no	—
1630	C₂×C₄	—	10	1	no	—
1631	C₂×C₄	—	10	1	no	—
1632	C₂×C₄	—	10	1	no	—
1633	C₂×C₄	—	10	1	no	—
1634	C₂×C₄	—	10	1	no	—
1635	C₂×C₄	—	10	1	no	—
1636	C₂×C₄	—	10	1	no	—
1637	C₂×C₄	—	20	1	no	—
1638	C₂×C₄	—	20	1	no	—
1639	C₂×C₄	—	20	2	no	—
1640	C₂×C₄	—	20	2	no	—
1641	C₂×C₄	—	20	2	no	—
1642	C₂×C₄	—	20	2	no	—
1643	C₂×C₄	—	20	2	no	—
1644	C₂×C₄	—	40	1	no	—
1645	C₂×C₄	—	40	1	no	—
1646	C₂×C₄	—	40	1	no	—
1647	C₂×C₄	—	40	1	no	—
1648	C₂×C₄	—	40	1	no	—
1649	C₂×C₄	—	40	1	no	—
1650	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1651	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1652	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1653	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1654	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1655	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1656	C₈	—	2	1	no	—
1657	C₈	—	2	1	no	—
1658	C₈	—	5	2	no	—
1659	C₈	—	5	2	no	—
1660	C₈	—	10	1	no	—
1661	C₈	—	10	1	no	—
1662	C₈	D₅×#41	1	2	yes	—
1663	C₈	D₅×#41	1	2	yes	—
1664	C₅	#60694	1	1	yes	characteristic, complemented, Sylow
1665	C₂²	—	2	1	no	—
1666	C₂²	—	2	1	no	—
1667	C₂²	—	2	1	no	—
1668	C₂²	—	4	1	no	—
1669	C₂²	—	4	1	no	—
1670	C₂²	—	4	1	no	—
1671	C₂²	—	4	1	no	—
1672	C₂²	—	4	1	no	—
1673	C₂²	—	4	1	no	—
1674	C₂²	—	5	2	no	—
1675	C₂²	—	10	1	no	—
1676	C₂²	—	10	1	no	—
1677	C₂²	—	10	1	no	—
1678	C₂²	—	10	1	no	—
1679	C₂²	—	10	1	no	—
1680	C₂²	—	20	1	no	—
1681	C₂²	—	20	1	no	—
1682	C₂²	—	20	1	no	—
1683	C₂²	—	20	1	no	—
1684	C₂²	—	20	1	no	—
1685	C₂²	—	20	1	no	—
1686	C₂²	—	40	4	no	—
1687	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1688	C₄	—	2	1	no	—
1689	C₄	—	2	1	no	—
1690	C₄	—	2	1	no	—
1691	C₄	—	2	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	—	4	1	no	—
1696	C₄	—	4	1	no	—
1697	C₄	—	4	1	no	—
1698	C₄	—	5	2	no	—
1699	C₄	—	10	1	no	—
1700	C₄	—	10	1	no	—
1701	C₄	—	10	1	no	—
1702	C₄	—	10	1	no	—
1703	C₄	—	10	1	no	—
1704	C₄	—	20	1	no	—
1705	C₄	—	20	1	no	—
1706	C₄	—	20	1	no	—
1707	C₄	—	20	1	no	—
1708	C₄	—	20	1	no	—
1709	C₄	—	20	1	no	—
1710	C₄	#66096	1	2	yes	—
1711	C₄	C₂×D₅×#41	1	1	yes	characteristic
1712	C₄	C₂×D₅×#41	1	1	yes	characteristic
1713	C₂	—	4	1	no	—
1714	C₂	—	8	1	no	—
1715	C₂	—	8	1	no	—
1716	C₂	—	10	2	no	—
1717	C₂	—	20	1	no	—
1718	C₂	—	40	1	no	—
1719	C₂	—	40	1	no	—
1720	C₂	D₅×#532	1	1	yes	characteristic
1721	C₂	C₂×#66096	1	1	yes	characteristic
1722	C₂	#10619088	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3167	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3167	D₅
hypocenter	C₅	#60694
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3167

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #10618176	C₂	semidirect
2. #10618138	C₂	semidirect
3. C₅×#3167	C₂	semidirect
4. #10615076	C₂	semidirect
5. #10615023	C₂	semidirect
6. #10613623	C₂	semidirect
7. #10613618	C₂	semidirect
8. #10613494	C₂	semidirect
9. #10613484	C₂	semidirect
10. #10613330	C₂	semidirect
11. #10613325	C₂	semidirect
12. #10613294	C₂	semidirect
13. #10613289	C₂	semidirect
14. #10612393	C₂	semidirect
15. #10612392	C₂	semidirect
16. #10612391	C₂	semidirect
17. #10612390	C₂	semidirect
18. #10612368	C₂	semidirect
19. #10612367	C₂	semidirect
20. #10612366	C₂	semidirect
21. #10612365	C₂	semidirect
22. #10611396	C₂	semidirect
23. #10611395	C₂	semidirect
24. #10611394	C₂	semidirect
25. #10611393	C₂	semidirect
26. C₄×#4061	C₂	semidirect
27. C₄×#4060	C₂	semidirect
28. C₄×#4062	C₂	semidirect
29. C₄×D₅×SD₁₆	C₂	semidirect
30. #10610200	C₂	semidirect
31. C₄×#4047	C₂	semidirect
32. C₅×#533	C₂²	semidirect
43. #66067	C₂²	semidirect
44. #66065	C₂²	semidirect
54. #65977	C₂²	semidirect
59. #65959	C₂²	semidirect
67. #65914	C₂²	semidirect
69. #65912	C₂²	semidirect
81. #65813	C₂²	semidirect
83. C₅×#498	C₂²	semidirect
85. C₅×#487	C₂²	semidirect
89. C₅×#465	C₂²	semidirect
90. C₅×#465	C₂²	semidirect
93. C₄×C₅×SD₁₆	C₂²	semidirect
94. C₄×C₅×SD₁₆	C₂²	semidirect
95. C₂×C₄×C₅×C₈	C₂²	semidirect
99. #65463	C₂²	semidirect
101. #65460	C₂²	semidirect
105. #65453	C₂²	semidirect
107. SD₁₆×Dic₅	C₂²	semidirect
108. #65405	C₂²	semidirect
111. #65403	C₂²	semidirect
112. #65390	C₂²	semidirect
113. #65390	C₂²	semidirect
115. #65378	C₂²	semidirect
117. #65371	C₂²	semidirect
118. #65369	C₂²	semidirect
119. #65369	C₂²	semidirect
122. #65341	C₂²	semidirect
123. #65341	C₂²	semidirect
127. #65331	C₂²	semidirect
129. #65328	C₂²	semidirect
130. C₄×#689	C₂²	semidirect
131. C₄×#689	C₂²	semidirect
135. C₄×#687	C₂²	semidirect
137. C₄×#686	C₂²	semidirect
138. C₄×#681	C₂²	semidirect
140. #65157	C₂²	semidirect
143. #65153	C₂²	semidirect
148. #65147	C₂²	semidirect
149. #65145	C₂²	semidirect
150. #65145	C₂²	semidirect
151. #65144	C₂²	semidirect
152. #65142	C₂²	semidirect
154. #65141	C₂²	semidirect
156. #65105	C₂²	semidirect
157. #65102	C₂²	semidirect
164. #65089	C₂²	semidirect
165. #65086	C₂²	semidirect
166. #65084	C₂²	semidirect
167. #65081	C₂²	semidirect
168. #65079	C₂²	semidirect
169. #65078	C₂²	semidirect
172. #65071	C₂²	semidirect
174. #65067	C₂²	semidirect
185. #65046	C₂²	semidirect
186. #65045	C₂²	semidirect
187. C₄×Dic₂₀	C₂²	semidirect
189. #64986	C₂²	semidirect
193. C₄×#677	C₂²	semidirect
196. #64978	C₂²	semidirect
197. #64978	C₂²	semidirect
199. C₄×#676	C₂²	semidirect
201. C₄×C₈×D₅	C₂²	semidirect
202. #64972	C₂²	semidirect
502. #3167	D₅	semidirect
723. #676	#41	semidirect
727. C₈×D₅	#41	semidirect
760. #533	C₂×D₅	semidirect
786. #498	C₂×D₅	semidirect
808. #487	C₂×D₅	semidirect
841. #465	C₂×D₅	semidirect
842. #465	C₂×D₅	semidirect
869. C₄×SD₁₆	C₂×D₅	semidirect
870. C₄×SD₁₆	C₂×D₅	semidirect
898. C₂×C₄×C₈	C₂×D₅	semidirect
1664. C₅	#60694	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#10618176	2
#10618138	2
C₅×#3167	2
#10615076	2
#10615023	2
#10613623	2
#10613618	2
#10613494	2
#10613484	2
#10613330	2
#10613325	2
#10613294	2
#10613289	2
#10612393	2
#10612392	2
#10612391	2
#10612390	2
#10612368	2
#10612367	2
#10612366	2
#10612365	2
#10611396	2
#10611395	2
#10611394	2
#10611393	2
C₄×#4061	2
C₄×#4060	2
C₄×#4062	2
C₄×D₅×SD₁₆	2
#10610200	2
C₄×#4047	2
#60694	5